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136234200 = 23352474831
BaseRepresentation
bin10000001111011…
…00010011011000
3100111100102012010
420013230103120
5234333443300
621303545520
73242654154
oct1007542330
9314312163
10136234200
116a99a853
123975b2a0
13222bc26b
1414144064
15be60a50
hex81ec4d8

136234200 has 96 divisors (see below), whose sum is σ = 431400960. Its totient is φ = 35548800.

The previous prime is 136234193. The next prime is 136234201. The reversal of 136234200 is 2432631.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136234201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25785 + ... + 30615.

It is an arithmetic number, because the mean of its divisors is an integer number (4493760).

Almost surely, 2136234200 is an apocalyptic number.

136234200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215700480).

136234200 is an abundant number, since it is smaller than the sum of its proper divisors (295166760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136234200 is a wasteful number, since it uses less digits than its factorization.

136234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4897 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 136234200 is about 11671.9407126664. The cubic root of 136234200 is about 514.5513420569.

Adding to 136234200 its reverse (2432631), we get a palindrome (138666831).

The spelling of 136234200 in words is "one hundred thirty-six million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 188 200 235 282 300 376 470 564 600 705 940 1128 1175 1410 1880 2350 2820 3525 4700 4831 5640 7050 9400 9662 14100 14493 19324 24155 28200 28986 38648 48310 57972 72465 96620 115944 120775 144930 193240 227057 241550 289860 362325 454114 483100 579720 681171 724650 908228 966200 1135285 1362342 1449300 1816456 2270570 2724684 2898600 3405855 4541140 5449368 5676425 6811710 9082280 11352850 13623420 17029275 22705700 27246840 34058550 45411400 68117100 136234200